Rotational Mechanical Converter (MA)
Interface (converter) between humid air and mechanical rotary networks.
blockType: AcausalFoundation.MoistAir.Elements.RotationalMechanicalConverter
Path in the library:
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Description
Block Rotational Mechanical Converter (MA) It is an interface between a humid air network and a mechanical rotary network. The unit converts humid air pressure into mechanical torque and vice versa. It can be used as a base for rotary actuators.
The volume of humid air in the converter changes during operation. The pressure and temperature vary depending on the compressibility and heat capacity of the volume of moist air. Liquid water condenses from the volume of moist air when it reaches saturation.
Parameter Mechanical orientation determines whether an increase in the volume of humid air leads to a positive or negative rotation of port R relative to port C.
Port A is the humid air port corresponding to the input of the converter. Ports R and C are the rotational mechanics ports corresponding to the shaft and housing respectively.
Subscript indexes:
-
and — properties of dry air, water vapor, impurity gas and water droplets, respectively;
-
— water vapor at saturation;
-
— the appropriate port;
-
— properties of the internal volume of humid air.
Characteristics of the simulated system:
-
— mass consumption;
-
— the rate of energy consumption;
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— heat consumption;
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— pressure;
-
— density;
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— universal gas constant;
-
— the volume of moist air inside the converter;
-
— specific heat capacity at constant volume;
-
— specific enthalpy;
-
— specific internal energy;
-
— mass fraction ( — specific humidity, which is otherwise called the mass fraction of water vapor);
-
— molar fraction;
-
— relative humidity;
-
— humidity coefficient;
-
— the mass ratio of water droplets to moist air;
-
— temperature;
-
— the time.
The net consumption of moist air in the tank is:
where
-
— condensation rate;
-
— the rate of evaporation of water droplets;
-
— the rate of condensate energy loss;
-
— parameter value Fraction of condensate entrained as water droplets;
-
— the rate of energy addition from sources of moisture and impurity gases;
-
and — massive flow of water and air through the port S.
Values and They are determined by sources of moisture and impurity gas connected to the S port of the converter.
If the port is not in use, then the terms of the equation with the subscript corresponding to the port name are equal to .
The conservation of water vapor mass relates the mass flow of water vapor to the dynamics of the humidity level in the internal volume of humid air:
Similarly, the conservation of impurity gas mass relates the mass flow rate of impurity gas to the dynamics of the impurity gas level in the internal volume of humid air:
The equation of conservation of mass of water droplets relates the mass flow rate of water droplets to the dynamics of entrained water droplets in the internal volume of humid air:
The conservation of the mass of the mixture relates the mass flow rate of the mixture to the dynamics of pressure, temperature, and mass fractions of the internal volume of moist air.:
where — the rate of change of the converter volume.
Finally, the law of conservation of energy relates the rate of energy flow to the dynamics of pressure, temperature, and mass fractions of the internal volume of humid air.:
The equation of state relates the density of a mixture to pressure and temperature:
The universal gas constant of the mixture is:
The volume of the converter depends on the rotation of the shaft:
where
-
— the volume of liquid at which the angle of rotation of the shaft is 0;
-
— volumetric displacement of the shaft;
-
— angle of rotation of the shaft;
-
— the coefficient of mechanical orientation. If the parameter Mechanical orientation set to the value
Pressure at A causes positive rotation of R relative to CThen , otherwise .
The rotation of the shaft is zero if the volume of moist air inside the converter is equal to . Then, depending on the value of the parameter Mechanical orientation, the following is true:
-
If it is set to
Pressure at A causes positive rotation of R relative to C, then the rotation of the interface increases when the volume of moist air increases compared to the dead volume. -
If it is set to
Pressure at A causes negative rotation of R relative to C, the rotation of the interface decreases when the volume of moist air increases compared to the dead volume.
The equation describing the equilibrium of torques on the converter:
where
-
— torque from port R to port C;
-
— atmospheric pressure.
The gas and thermal resistances in the converter are not modeled:
When the air reaches saturation, moisture condensation may occur. The specific humidity at saturation is:
where
-
— relative humidity of the air at saturation (usually 1);
-
— saturation pressure of water vapor, estimated at .
The condensation rate is:
where — the value of the Water vapor condensation time constant parameter.
The evaporation rate of water droplets is:
where — parameter value Water droplets evaporation time constant;
Assumptions and limitations
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The walls of the transducer are ideally rigid.
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The gas resistance between the input and the inside of the converter is negligible.
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The thermal resistance between the H port and the volume of humid air is not modeled.
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The mobile interface works losslessly.
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The block does not simulate such mechanical effects as hard stop, friction and inertia.
Variables
Use the parameter group Initial Targets to set the priority and initial target values for the block parameter variables before modeling. For more information, see Configuring physical blocks using target values.
Ports
Conserving
#
C
—
body
translational mechanics
Details
Mechanical translational port, corresponds to the converter housing.
| Program usage name |
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#
R
—
shaft
rotational mechanics
Details
Mechanical translational port, corresponds to the shaft.
| Program usage name |
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#
H
—
temperature inside the converter
warm
Details
A thermal port related to the temperature of the moist air mixture inside the converter.
| Program usage name |
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#
A
—
humid air inlet
humid air
Details
The humid air port corresponds to the input of the converter.
| Program usage name |
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S
—
adding or removing moisture and impurity gases
humid air
Details
Connect this port to the S port of the library block Moisture & Trace Gas Sources for adding or removing moisture and impurity gases.
Dependencies
To use this port, set the parameter Moisture and trace gas source meaning Controlled.
| Program usage name |
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Output
#
W
—
condensation rate, kg/s
scalar
Details
The output port that measures the condensation rate in the converter.
| Data types |
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| Complex numbers support |
No |
#
F
—
a vector signal containing data on pressure, temperature, humidity, and the level of impurity gases
vector
Details
The output port that outputs the vector signal. The vector contains the measurement results of pressure (Pa), temperature (K), humidity level and impurity gas level inside the component.
| Data types |
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| Complex numbers support |
No |
Parameters
Initial Conditions
# Initial trace gas mass fraction — the amount of impurity gas in the humid air channel
Details
The amount of impurity gas in moist air by mass fraction at the beginning of the simulation. The mass fraction is determined relative to the total mass of water vapor, impurity gas, and dry air.
The block ignores this parameter if for the parameter Trace gas model in the block Moist Air Properties (MA) the value is set None.
Dependencies
To use this parameter, set for the parameter Initial trace gas specification meaning Mass fraction.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
# Initial relative humidity — relative humidity at the beginning of the simulation
Details
The relative humidity of the humid air at the beginning of the simulation. Relative humidity is the ratio of the partial pressure of water vapor to the saturation pressure of water vapor, or the ratio of the molar fraction of water vapor to the molar fraction of water vapor at saturation.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Relative humidity.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial temperature —
temperature at the beginning of the simulation
K | degC | degF | degR | deltaK | deltadegC | deltadegF | deltadegR
Details
The initial temperature of the humid air.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
# Initial specific humidity — specific humidity at the beginning of the simulation
Details
The specific humidity of the humid air at the beginning of the simulation. Specific humidity is the mass fraction of water vapor relative to the total mass of water vapor, impurities, and dry air.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Specific humidity.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial wet-bulb temperature —
the temperature according to the wet thermometer at the beginning of the simulation
K | degC | degF | degR | deltaK | deltadegC | deltadegF | deltadegR
Details
The temperature according to the wet thermometer at the beginning of the simulation. The unit uses this value to calculate humidity.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Wet-bulb temperature.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial humidity ratio priority —
priority of the humidity coefficient parameter
None | Low | High
Details
The priority that the solver assigns to the parameter Initial humidity ratio during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Humidity ratio.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
# Initial water vapor mole fraction — molar fraction of water vapor at the beginning of the simulation
Details
The molar fraction of water vapor in a moist air channel at the beginning of the simulation. The molar fraction of water vapor is determined relative to the total molar amount of water vapor, impurities, and dry air.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Mole fraction.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial temperature priority —
priority of the temperature parameter
None | Low | High
Details
The priority that the solver assigns to the parameter Initial temperature during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
# Initial humidity ratio — humidity coefficient at the beginning of the simulation
Details
The humidity coefficient in the humid air channel at the beginning of the simulation. The humidity coefficient is the ratio of the mass of water vapor to the mass of dry air and impurity gases.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Humidity ratio.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
# Initial trace gas mole fraction — molar fraction of impurity gas at the beginning of the simulation
Details
The amount of impurity gas in the moist air channel by molar fraction at the beginning of the simulation. The molar fraction is determined relative to the total molar amount of water vapor, impurity gas, and dry air.
The block ignores this parameter if for the parameter Trace gas model in the block Moist Air Properties (MA) the value is set None.
Dependencies
To use this parameter, set for the parameter Initial trace gas specification meaning Mole fraction.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial specific humidity priority —
priority of the specific humidity parameter
None | Low | High
Details
The priority that the solver assigns to the parameter Initial specific humidity during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Specific humidity.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
# Initial mass ratio of water droplets to moist air — the ratio of water droplets to moist air
Details
The initial mass ratio of water droplets to moist air.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial trace gas specification —
impurity gas measurement type
Mass fraction | Mole fraction
Details
The type of impurity gas measurement.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial pressure priority —
priority of the pressure parameter
None | Low | High
Details
The priority that the solver assigns to the parameter Initial pressure during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial mass ratio of water droplets to moist air priority —
the priority of the parameter of the ratio of the mass of water droplets to moist air
None | Low | High
Details
The priority that the solver assigns to the parameter Initial mass ratio of water droplets to moist air during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial trace gas mole fraction priority —
priority of the parameter of the molar fraction of the impurity gas
None | Low | High
Details
The priority that the solver assigns to the parameter Initial trace gas mole fraction during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial trace gas specification meaning Mole fraction.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial wet-bulb temperature priority —
the priority of the temperature parameter according to the wet thermometer
None | Low | High
Details
The priority that the solver assigns to the parameter Initial wet-bulb temperature during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Wet-bulb temperature.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial trace gas mass fraction priority —
priority of the parameter of the mass fraction of impurity gases
None | Low | High
Details
The priority that the solver assigns to the parameter Initial trace gas mass fraction during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial trace gas specification meaning Mass fraction.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial water vapor mole fraction priority —
priority of the parameter of the initial molar fraction of water vapor
None | Low | High
Details
The priority that the solver assigns to the parameter Initial water vapor mole fraction during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Mole fraction.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial relative humidity priority —
priority of the initial relative humidity parameter
None | Low | High
Details
The priority that the solver assigns to the parameter Initial relative humidity during block initialization.
Set this parameter to High to determine the initial conditions. You may need to set this parameter to Low or None if this initial condition conflicts with the initial conditions of another block.
Dependencies
To use this parameter, set for the parameter Initial humidity specification meaning Relative humidity.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial pressure —
humid air pressure at the beginning of the simulation
Pa | uPa | hPa | kPa | MPa | GPa | kgf/m^2 | kgf/cm^2 | kgf/mm^2 | mbar | bar | kbar | atm | ksi | psi | mmHg | inHg
Details
The pressure of humid air at the beginning of the simulation.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Initial humidity specification —
the method of setting humidity
Relative humidity | Specific humidity | Mole fraction | Humidity ratio | Wet-bulb temperature
Details
A method for determining the initial humidity of humid air.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
Moisture and Trace Gas
#
Added trace gas temperature specification —
the method of setting the temperature of the impurity gas
Atmospheric temperature | Specified temperature
Details
Selection of the method for setting the temperature of the impurity gas:
-
Atmospheric temperature— the atmospheric temperature set by the unit is used Moist Air Properties (MA), connected to the network. -
Specified temperature— the value is set using the parameter Temperature of added trace gas.
Dependencies
To use this parameter, set for the parameter Moisture and trace gas source meaning Constant.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Temperature of added trace gas —
impurity gas temperature
K | degC | degF | degR | deltaK | deltadegC | deltadegF | deltadegR
Details
Enter the desired temperature of the added impurity gas. This temperature remains constant during the simulation. The unit uses this value only to estimate the specific enthalpy of the added impurity gas. The specific enthalpy of the removed impurity gas is determined based on the temperature of the connected volume of humid air.
Dependencies
To use this parameter, set for the parameter Added trace gas temperature specification meaning Specified temperature.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
# Relative humidity at saturation — relative humidity, above which moisture condensation occurs
Details
The relative humidity above which condensation occurs.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
# Fraction of condensate entrained as water droplets — the proportion of condensate in water droplets
Details
The proportion of condensate in moist air that is entrained in the form of water droplets.
| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Rate of moisture added —
constant mass flow through the source
kg/s | kg/hr | kg/min | g/hr | g/min | g/s | t/hr | lbm/hr | lbm/min | lbm/s
Details
The mass flow of moisture through the source.
A positive value adds moisture to the connected humid air network. A negative value removes moisture from this network.
Dependencies
To use this parameter, set for the parameter Moisture and trace gas source meaning Constant.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Temperature of added moisture —
moisture temperature
K | degC | degF | degR | deltaK | deltadegC | deltadegF | deltadegR
Details
Enter the moisture temperature. This temperature remains constant during the simulation. The unit uses this value only to estimate the specific enthalpy of added moisture. The specific enthalpy of the removed moisture is determined based on the temperature of the connected humid air network.
Dependencies
To use this parameter, set for the parameter Added moisture temperature specification meaning Specified temperature.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Water vapor condensation time constant —
condensation time constant
s | ns | us | ms | min | hr | d
Details
A time scale factor that characterizes the time period for the oversaturated volume of humid air to return to saturation level due to condensation of excess moisture.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Rate of trace gas added —
constant mass flow through the source
kg/s | kg/hr | kg/min | g/hr | g/min | g/s | t/hr | lbm/hr | lbm/min | lbm/s
Details
Reflects the mass flow rate of the impurity gas through the source. A positive value adds impurity gas to the connected volume of humid air, a negative value takes it away.
Dependencies
To use this parameter, set for the parameter Moisture and trace gas source meaning Constant.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Moisture added or removed —
add or remove moisture in the form of steam or water
Water vapor | Water droplets
Details
Choose in which form the unit adds or removes moisture — in the form of steam or water:
-
Water vapor— the enthalpy of added or removed moisture corresponds to the enthalpy of water vapor, which is greater than the enthalpy of water. -
Water droplets— the enthalpy of added or removed moisture corresponds to the enthalpy of water, which is less than the enthalpy of water vapor.
Dependencies
To use this parameter, set for the parameter Moisture and trace gas source meaning Constant.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Added moisture temperature specification —
method for setting the moisture temperature
Atmospheric temperature | Specified temperature
Details
Choosing a method for setting the moisture temperature:
-
Atmospheric temperature— the atmospheric temperature set by the unit is used Moist Air Properties (MA), connected to the network. -
Specified temperature— the value is set using the parameter Temperature of added moisture.
Dependencies
To use this parameter, set for the parameter Moisture and trace gas source meaning Constant.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Water droplets evaporation time constant —
evaporation time constant
s | ns | us | ms | min | hr | d
Details
The characteristic time it takes for water droplets to evaporate, turning into steam.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Moisture and trace gas source —
source of moisture and impurity gases
None | Constant | Controlled
Details
This parameter controls the use of the S port and provides the following features for modeling moisture and impurity gas levels inside the unit:
-
None— no impurity gas is introduced into or extracted from the unit. The S port is hidden. This value is used by default. -
Constant— moisture and impurity gas are supplied to or extracted from the unit at a constant rate. The same parameters as in the blocks Moisture Source (MA) and Trace Gas Source (MA), become available in the block settings. The S port is hidden. -
Controlled— moisture and impurity gas are introduced into or removed from the unit at a time-varying rate. Port S is open. The blocks are connected to this port Moisture Source (MA) and Trace Gas Source (MA).
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
# Water vapor evaporated from liquid or condensed to liquid — add or remove water vapor
Details
Select the method of adding or removing water vapor by the unit:
-
If unchecked, the enthalpy of added or removed moisture corresponds to the enthalpy of water vapor, which is greater than the enthalpy of water.
-
If this option is selected, the enthalpy of added or removed moisture corresponds to the enthalpy of water, which is less than the enthalpy of water vapor.
When water vapor is added, it evaporates from the liquid, and the latent heat is released by the bound volume of the liquid. When water vapor is removed, it condenses into a liquid, and latent heat is released to the associated volume of liquid.
Dependencies
To use this parameter, set for the parameter Moisture and trace gas source meaning Constant, and for the parameter Moisture added or removed meaning Water vapor.
| Default value |
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| Program usage name |
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| Evaluatable |
No |
Main
#
Dead volume —
the volume of moist air at zero angle of rotation of the shaft
m^3 | um^3 | mm^3 | cm^3 | km^3 | ml | l | gal | igal | in^3 | ft^3 | yd^3 | mi^3
Details
The volume of moist air at the angle of rotation of the shaft, equal to 0.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Environment pressure specification —
the method of setting the ambient pressure
Atmospheric pressure | Specified pressure
Details
Choose a way to set the ambient pressure:
-
Atmospheric pressure— atmospheric pressure is used.
-
Specified pressure— set the value using the parameter Environment pressure.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Environment pressure —
pressure outside the transducer
Pa | uPa | hPa | kPa | MPa | GPa | kgf/m^2 | kgf/cm^2 | kgf/mm^2 | mbar | bar | kbar | atm | ksi | psi | mmHg | inHg
Details
The pressure outside the converter acting against the pressure of the humid volume of air in the converter. Meaning 0 This means that the gas in the converter is expanding into a vacuum.
Dependencies
To use this parameter, set for the parameter Environment pressure specification meaning Specified pressure.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Cross-sectional area at port A —
the area normal to the flow section at the inlet to the converter
m^2 | um^2 | mm^2 | cm^2 | km^2 | in^2 | ft^2 | yd^2 | mi^2 | ha | ac
Details
The cross-sectional area of the converter inlet in the direction normal to the humid air flow path.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Interface volume displacement —
volume of displaced humid air per unit of turnover
m^3/rad | mm^3/rad | cm^3/rad | km^3/rad | m^3/deg | cm^3/rev | m^3/rev | l/rad | l/rev | in^3/rad | ft^3/rad | gal/rad | igal/rad | in^3/deg | in^3/rev | gal/rev
Details
The volume of displaced moist air per unit revolution of the shaft.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |
#
Mechanical orientation —
select the orientation of the converter
Pressure at A causes positive rotation of R relative to C | Pressure at A causes negative rotation of R relative to C
Details
Select the movement of the shaft relative to the volume of moist air inside the converter:
-
Pressure at A causes positive rotation of R relative to C— An increase in the volume of humid air leads to a positive rotation of port R relative to port C. -
Pressure at A causes negative rotation of R relative to C— an increase in the volume of humid air leads to a negative rotation of port R relative to port C.
| Values |
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| Default value |
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| Program usage name |
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| Evaluatable |
No |
#
Initial interface rotation —
rotational displacement of port R relative to port C at the beginning of the simulation
rad | deg | rev | mrad | arcsec | arcmin | gon
Details
The rotational displacement of port R relative to port C at the beginning of the simulation. Meaning 0 corresponds to the initial volume of humid air equal to Dead volume.
Dependencies
To use the parameter, set for the parameter Interface rotation meaning Calculate from angular velocity of port R relative to port C:
-
If Mechanical orientation —
Pressure at A causes positive rotation of R relative to C, then the parameter value must be greater than or equal to0. -
If Mechanical orientation —
Pressure at A causes negative rotation of R relative to C, then the parameter value must be less than or equal to0.
| Units |
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| Default value |
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| Program usage name |
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| Evaluatable |
Yes |